Pith Number

pith:JWXCZNKX

pith:2026:JWXCZNKXIOY26QCSH77OMALEPW

not attested not anchored not stored refs pending

On the Finiteness of Geometric Representations for Varieties over Finite Fields

Yufan Luo

arxiv:2606.31341 v1 · 2026-06-30 · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JWXCZNKXIOY26QCSH77OMALEPW}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-01T01:17:59.812901Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dae2cb55743b1af40523ffee601647d888f0a3f8fbbe5ef273ae59b3eb526ee

Aliases

arxiv: 2606.31341 · arxiv_version: 2606.31341v1 · doi: 10.48550/arxiv.2606.31341 · pith_short_12: JWXCZNKXIOY2 · pith_short_16: JWXCZNKXIOY26QCS · pith_short_8: JWXCZNKX

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/JWXCZNKXIOY26QCSH77OMALEPW \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 4dae2cb55743b1af40523ffee601647d888f0a3f8fbbe5ef273ae59b3eb526ee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c56530f562c1ad39df88fe26f847e4e05e68d033ca02c5cc9b6b9216693fcb62",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2026-06-30T08:41:30Z",
    "title_canon_sha256": "6bd76b342ad9971d7327f83a7ec566bd45c32344ea5acbac5cde677090800c0d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2606.31341",
    "kind": "arxiv",
    "version": 1
  }
}